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Finding the Fourth Proportional to 431.02, 646.16 and 199.61

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Solution

The fourth proportional to 431.02, 646.16 and 199.61 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.02 : 646.16 = 199.61 : x
  2. Step 2: Convert to fraction form
    431.02/646.16 = 199.61/x
  3. Step 3: Cross multiply
    431.02x = 646.16 × 199.61
  4. Step 4: Simplify right side
    431.02x = 128,976.77
  5. Step 5: Solve for x
    x = 128,976.77/431.02
  6. Step 6: Final answer
    x = 299.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.